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Finding the Third Proportional to 73,902 and 113,715

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Solution

The third proportional to 73,902 and 113,715 is: 174,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,902 : 113,715 = 113,715 : x
  2. Step 2: Convert to fraction form
    73,902/113,715 = 113,715/x
  3. Step 3: Cross multiply
    73,902x = 113,715 × 113,715
  4. Step 4: Simplify right side
    73,902x = 12,931,101,225
  5. Step 5: Solve for x
    x = 12,931,101,225/73,902
  6. Step 6: Final answer
    x = 174,976.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.